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Finding the Third Proportional to 519,476 and 777,124

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Solution

The third proportional to 519,476 and 777,124 is: 1,162,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,476 : 777,124 = 777,124 : x
  2. Step 2: Convert to fraction form
    519,476/777,124 = 777,124/x
  3. Step 3: Cross multiply
    519,476x = 777,124 × 777,124
  4. Step 4: Simplify right side
    519,476x = 603,921,711,376
  5. Step 5: Solve for x
    x = 603,921,711,376/519,476
  6. Step 6: Final answer
    x = 1,162,559.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.